← Linear equations in one variable lesson New set →

Class 8 Maths Worksheet: Linear Equations

Maths worksheets lesson 60: Linear equations in one variable · Set 666 · 40 sums
TalentJR

The method (Letters one side, numbers the other): Open brackets: a(x − b) = ax − ab. Fractions: multiply both sides by the LCM of the denominators — x/3 + x/4 = 14 → 4x + 3x = 168. Move letter terms to one side and numbers to the other (change the sign when a term crosses =), then divide. Word problems: consecutive numbers are n, n + 1, n + 2 …; ages in y years are age + y.

NameDateTime takenScore ___ / 40
  1. 1.Solve: p/3 + p/5 = 24. What is p?
  2. 2.Solve: 4p + 7 = 3p + 10. What is p?
  3. 3.Solve: 7y + 3 = 2y + 28. What is y?
  4. 4.Solve: 3y + 16 = 2y + 28. What is y?
  5. 5.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  6. 6.The length of a rectangle is 10 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  7. 7.Solve: 9p + 1 = 2p + 78. What is p?
  8. 8.Solve: 3n + 15 = n + 39. What is n?
  9. 9.Solve: 4(x − 1) = 3x + 2. What is x?
  10. 10.Solve: 9y + 20 = 5y + 60. What is y?
  11. 11.Solve: n/4 + n/5 = 18. What is n?
  12. 12.Solve: 5(t − 2) = t + 26. What is t?
  13. 13.Solve: y/3 + y/5 = 64. What is y?
  14. 14.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  15. 15.A father is 10 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  16. 16.Solve: x/4 + x/5 = 9. What is x?
  17. 17.The length of a rectangle is 8 cm more than its width. Its perimeter is 24 cm. What is its width (in cm)?
  18. 18.The length of a rectangle is 12 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  19. 19.Solve: 3n + 5 = n + 11. What is n?
  20. 20.Solve: n/5 + n/4 = 54. What is n?
  21. 21.Solve: 4x + 14 = 3x + 18. What is x?
  22. 22.Solve: 3x + 10 = x + 18. What is x?
  23. 23.The sum of two consecutive whole numbers is 63. What is the smallest of them?
  24. 24.The length of a rectangle is 10 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  25. 25.Solve: 4m + 11 = m + 41. What is m?
  26. 26.Solve: 4(y − 4) = 3y + 4. What is y?
  27. 27.The length of a rectangle is 7 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  28. 28.Solve: 3(m − 3) = 2m + 1. What is m?
  29. 29.A father is 36 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  30. 30.Solve: x/4 + x/2 = 9. What is x?
  31. 31.Solve: 5(x − 4) = 2x + 22. What is x?
  32. 32.Solve: p/3 + p/2 = 15. What is p?
  33. 33.A father is 36 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  34. 34.Solve: p/5 + p/4 = 18. What is p?
  35. 35.The sum of two consecutive whole numbers is 67. What is the smallest of them?
  36. 36.The length of a rectangle is 6 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  37. 37.Solve: m/6 + m/3 = 3. What is m?
  38. 38.Solve: x/2 + x/4 = 24. What is x?
  39. 39.Solve: x/4 + x/3 = 28. What is x?
  40. 40.The length of a rectangle is 11 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?

Answer key

  1. 45
  2. 3
  3. 5
  4. 12
  5. 4
  6. 12
  7. 11
  8. 12
  9. 6
  10. 10
  11. 40
  12. 9
  13. 120
  14. 3
  15. 3
  16. 20
  17. 2
  18. 19
  19. 3
  20. 120
  21. 4
  22. 4
  23. 31
  24. 3
  25. 10
  26. 20
  27. 13
  28. 10
  29. 5
  30. 12
  31. 14
  32. 18
  33. 11
  34. 40
  35. 33
  36. 24
  37. 6
  38. 32
  39. 48
  40. 27

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets